Probability & Statistics

Question

. . . .. . . . .. .. . . .. . . . . . . .. . . . .. . ., . . .. ,.,. ., ,., ., ., .,. ,. ,., .,. ,., .,.,. , .,.,., ,., .,., . ,.,.,,.. .,,. ... ... ... ... ... ... .. .. ... ... .. .. .. .. .j

Answer 1

The standard notation for the normal distribution is N(mean, variance)

The variance of the sample of size n is the variance of the population/n

The sample mean equals the population mean.

Q1: N(42, 10/81)

Q2: N(42, 10/16) on N(42, 5/8)

Q3: this question can be interpreted in so many ways; one way is that the confidence interval can be one-sided or two-sided - of course, the one-sided can be either way.

Q4: The probability that the sample mean is > 20.26 is .8084.

There is really no way to interpret beyond restating this.

Q5; Z ~ (0, 1). P(z > 0) = 1/2